Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895676 | Journal of Geometry and Physics | 2014 | 14 Pages |
Abstract
We construct normal forms for Lorentzian metrics on Engel distributions under the assumption that abnormal curves are timelike future directed Hamiltonian geodesics. Then we indicate some cases in which the abnormal timelike future directed curve initiating at the origin is geometrically optimal. We also give certain estimates for reachable sets from a point.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Marek Grochowski,